Email this article Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions
- Authors: Vougalter V.1, Volpert V.2,3
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Affiliations:
- University of Toronto
- Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 235, No 3 (2018)
- Pages: 243-255
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242102
- DOI: https://doi.org/10.1007/s10958-018-4071-y
- ID: 242102
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Abstract
We study the existence of solutions of an integro-differential equation in the case of the anomalous diffusion with the negative Laplace operator in a fractional power in two dimensions. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.
About the authors
V. Vougalter
University of Toronto
Author for correspondence.
Email: vitali@math.toronto.edu
Canada, 27 King’s College Circle, Toronto, Ontario, M5S 1A1
V. Volpert
Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1; Peoples’ Friendship University of Russia (RUDN University)
Email: vitali@math.toronto.edu
France, Villeurbanne, 69622; 6, Miklukho-Maklaya St, Moscow, 117198
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